For which values of the parameter ppp does the series ∑n=2∞(lnn)2np\sum_{n=2}^{\infty} \frac{(\ln n)^2}{n^p}∑n=2∞np(lnn)2 converge?
p>1p > 1p>1 only
p>0p > 0p>0 only
p≥1p \geq 1p≥1
p>1p > 1p>1 and also p=1p = 1p=1 (marginal case)